$ 2\frac{1}{4}+ 3\frac{1}{2}+5\frac{3}{4}+ 6 + 7\frac{1}{4}=23+\frac{1+2+3+1}{4}=23+\frac{7}{4}=23+1\frac{3}{4}=24\frac{3}{4}=24/75$ $24/75\div 5=4/95$